13555433012000 has 288 divisors, whose sum is σ = 36698787281520. Its totient is φ = 4917124608000.

The previous prime is 13555433011999. The next prime is 13555433012053. The reversal of 13555433012000 is 21033455531.

It can be written as a sum of positive squares in 8 ways, for example, as 3460299395344 + 10095133616656 = 1860188^2 + 3177284^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197921762 + ... + 197990238.

Almost surely, 2^{13555433012000} is an apocalyptic number.

13555433012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13555433012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18349393640760).

13555433012000 is an abundant number, since it is smaller than the sum of its proper divisors (23143354269520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13555433012000 is a wasteful number, since it uses less digits than its factorization.

13555433012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68933 (or 68904 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 13555433012000 its reverse (21033455531), we get a palindrome (13576466467531).

The spelling of 13555433012000 in words is "thirteen trillion, five hundred fifty-five billion, four hundred thirty-three million, twelve thousand".